Characterization of finite type string link invariants of degree <5

Jean Baptiste Meilhan, Akira Yasuhara

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

We give a complete set of finite type string link invariants of degree <5. In addition to Milnor invariants, these include several string link invariants constructed by evaluating knot invariants on certain closures of (cabled) string links. We show that finite type invariants classify string links up to Ck-moves for k≤5, which proves, at low degree, a conjecture due to Goussarov and Habiro. We also give a similar classification of string links up to Ck-moves and concordance for k≤6.

Original languageEnglish
Pages (from-to)439-472
Number of pages34
JournalMathematical Proceedings of the Cambridge Philosophical Society
Volume148
Issue number3
DOIs
Publication statusPublished - 2010 May

ASJC Scopus subject areas

  • Mathematics(all)

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